3. Convert the following to an exponential equation: A) In 3 = x B) log 100 = 2 C) log 8 0.125 = -1

Q: 13. Combine the following into a logarithm: single 2 log – 3 log y + log(x*y²)

A:

Q: 4. Convert the following to an exponential equation: log15(2x) = = 11

A:

Q: A person places $1690 in an investment account earning an annual rate of 7.2%, compounded…

A:

Q: Express the following logarithms in terms of ln 2 and ln 3.c. ln (1/2)           d. ln( 9)^1/3

A: Given: c  ln12  d ln913 Formula Used: 1 lnmn=lnm-lnn2 lnxn=nlnx

Q: Solve the following logarithm problem for the positive solution for x. 1 logr 9. 23

A: Logarithmic properties.

Q: Find the value of Log(-1+i) In/2 – in/3 lny2+ ίπ/4 in5-ίπ/6 ly2 +3ίπ/4

A: Solution:

Q: Use the Laws of Logarithms to combine the expressior 5 log(x) 4 ! log(x2 + 1) + 5 log(x – 1) -

A:

Q: 1. Complete the formulas: log, (MN) = r log, x = log, x– log, y = Definition of log: y=c* > Change…

A:

Q: 4. Use the special properties of logarithms to solve the following equations. a. M = log„1121 b.…

A:

Q: Consider the following. e0.6x = 8 %3D (a) Find the exact solution of the exponential equation in…

A: Apply ' ln ' on both sides

Q: The base of log x is base e true or false?

A:

Q: Consider the following  10(1.375)14t=80  (a) find the exact solution of the exponential equation…

A: 10(1.375)14t=80  To find: The exact solution of the exponential equation in terms of logarithms.

Q: how do i condense this expression to a single logarithm? step by step please

A: The given logarithmic expression is

Q: Express the following logarithms in terms of ln 5 and ln 7. ln 0.056

A: We have to find ln(0.056) in terms of ln(5) and ln(7) Before that, write 0.056 in fraction

Q: condense to a single logarithm with a leading coefficient of 1  -log base b(1/2)

A: condense to a single logarithm with a leading coefficient of 1  -log base b(1/2)

Q: condense to a single logarithm with a leading cofficient of 1  In(3)+In (x) + In (y)

A: Given query is to condense to a singl logarithm with a leading cofficient of 1.

Q: 12.) Use the laws of logarithms to combine: 2 log x + 1 log(x² + 1)

A: We have to use the laws of logarithms for the given equation.…

Q: 3(1 + 108x) = 8 %3D (a) Find the exact solution of the exponential equation in terms of logarithms.…

A:

Q: Solve the following logarithmic equation:  log x + log(x − 1) = log(4x)

A: Simplify logarithmic equation

Q: 4. Solve the following using logarithms. a) log x + log(x - 1) = log 2 b) log 40 - log10 = logx

A:

Q: log 10 = 1 110 = 1 10' = 10 1010 = 1 110 = 10

A:

Q: A function defined by y = ab can be written in terms of an exponential function base e as

A: The function is y=abx

Q: Express the quantity as a single logarithm.   In 3 + 1/3  In 8

A: Given- ln3+13ln8 To express- The above expression as a single logarithm. Formula used- lnam=mlna and…

Q: Express the following logarithms in terms of ln 2 and ln 3. ln √13.5

A: Express ln13.5 in terms of ln2 and ln3.

Q: express the following as a single logarithm ln x+ a ln y - b ln z

A:

Q: 1 log(e)= In(10) %3D Use the change of base property to show

A:

Q: If y = loge (2x + 1)'/2 ? and x = 1 y'will be equal to Select one: O a. 1.3

A: The given function is y=loge 2x+112. Obtain the derivative as follows. dydx=ddxloge 2x+112=ddx12loge…

Q: Find the value of Log(-1+i) In/2 + 3ix/4 In5 – in/6 In/2 + ix/4 In/2 – in/3 -

A: We have the formula for principal logarithm

Q: Solve the following equations. log, (2.x – 3) = 3 4 In(3.x) = 8 log x = log(1-x)

A:

Q: A person places $419 in an investment account earning an annual rate of 9.2%, compounded…

A: Given that P= principal initially invested=$419 annual rate = r =9.2%=0.092 Time=t =20 years find…

Q: The solution of the logarithmic equation log z + log(x + 5) = log 24 is 3. 11 O16

A:

Q: Deduce the relationship between y and x from the graph shown. log(y) 3.7 0.7 log(x)

A: The general equation of a line in two-point form is: where x and y are variables of horizontal and…

Q: 11. What are the approximate solutions to log(4x − 1) - x≈ 2.95, x≈ 2.00 x≈ 1.75, x≈ 24.83 Ox0.25, x…

A:

Q: a and In 3 = b. Use properties of logarith 31. In 1.5 %3D In

A: Since you have posted multiple question in this question so I have solved first question as per our…

Q: B. Convert to an exponential equation. 1. log, T =x 2. t= log, 7 3. In 0.38 =- 0.9676 5. log 0.01 =-…

A:

Q: Express the following logarithms in terms of ln 5 and ln 7. ln 9.8

A: The given expression is ln 9.8

Q: 2. 2 log x – 1 = log(x-1)

A:

Q: 1 log 3 27 |

A: To find : logx127=-34

Q: Solve the following logarithmic equation. log(2x - 2)= log(x + 1) + log(4)

A: Given: log2x-2=logx+1+log4 Now by using the logarithmic property, loga+logb=loga·b…

Q: Solve the following logarithmic equations. a. 〖log〗_3 (x-4)+〖log〗_3 7=2 b. log(3x-13)=2+log⁡x

A: The explanation of answer as follows

Q: What is the natural logarithm of e to the xy power

A: To find what is the natural logarithm of e to the xy power?

Q: 13. Combine the following into a single logarithm Inz- 3 In (z + 4) + In (y)) 112

A: Follow the steps.

Q: Express the following logarithms in terms of ln 2 and ln 3. ln 0.75

A: To express ln0.75 in terms of ln2 and ln3

Q: 3. (a) Calculate sinh (log(5) – log(4)) exactly, i.e. without using a calculator. Answer:

A: Solution is given below:

Q: b) Find the value of x that satisfies log(x+3)− log x = log x+log 2.

A: Follow the procedure given below.

Q: Express the following logarithms in terms of ln 2 and ln 3. ln 3√9

A: To express:  ln 3√9 in terms of  ln 2 and ln 3.

Q: Express the following logarithms in terms of ln 2 and ln 3. ln (4 / 9)

A: Given logarithm ln49 The objective is to expression the logarithm in term of  ln (2) and ln(3)

Q: A person places $123 in an investment account earning an annual rate of 2.8%, compounded…

A: Explanation and solutions is given below....

Q: If c=log 2, what is log 0.8 in terms of c?

A: